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HW%2013%20Solution

# HW%2013%20Solution - CE4401 Spring 2008 Homework#13 Due...

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Unformatted text preview: CE4401 Spring 2008 Homework #13 Due Friday Dec 18 by 4:00 in my ofﬁce For all problems assume a #3 tie and max agg size of 3/4” unless otherwise stated. You may make any other assumptions necessag, but be sure to state them in your solutions 1. Make a list of all the references you have seen in class or doing homework to the ACI code this list should include the classes through Wednesday May. 6 and this homework assignment. Include the code section, code page number, the topic, and a brief summary of what the code says in that section if possible ( i.e. if you can summarize it in a few words otherwise leave this column blank). Do not copy word for word out of the code. For the short column of cross section shown (20” X 22’) , ﬁnd ¢Pn, ¢Mn and e at the condition when the strain in the extreme tension layer of steel is 0.0021 at ultimate using basic principals (i.e. draw a strain diagram, and then a stress diagram, sum forces, sum moments, etc). The column is reinforced with 8 #10 bars as shown and a No. 3 tie (not shown for simplicity). The center of the #10 bars is 2.5” from the closest outside edge (i.e. cover + dtie + .Sdlo = 2.5”). The concrete strength is 5 ksi, the steel strength is 60 ksi. Check by using the charts. Bending is about the strong axis. Do not bother checking/designing ties. l%20”—-——9[ l l . Design a short, square tied column to carry a factored axial design load P, of 710 kips and a factored design moment 11/1u of 150 ft-kips. Place the longitudinal reinforcing uniformly in all four faces. fc’ = 5ksi and j; = 60ksi. (use the charts). Also, design the ties for the column, you may use #3 or #4 ties as you see ﬁt. Assume that the moment diagram goes from 0 moment at the base to 150 ft—kips at the top linearly. The length of the column is 12 ft. Draw a typical cross section of the column showing the bars and ties. You do NOT need to verify your design with hand calculations — you only need use the provided interaction charts. You should verify that your column meets the requirements to be considered short. ’ - 5 SQUARES ‘9 , 5 SQUARES 4 9 200 SHEETS EVEEASEW - 5 SQUARES 0 SHEETS EYE-E “ 0 uHEFTS EVF E ”ﬁg" Fiﬂfiﬂﬁﬁé' ﬁgmmi } i I i i i c0: Ci: \i V ﬁg! ;? 2 ‘5 {5517 £38 yaks} :: 12%;; Hp / AK ;? ; 3R§LETQLAZ> {93503; :1 2175:6343 (“aw ‘ g (53) \$30 \$065!“; cam}; a ﬁij @526 f (‘3’: gag!“ + gig“ .3» Saglgw : ”Egg-{s} ° '54 g £55! “13:7 ”‘11:: gﬁa§ { ff.‘ K p f L {Na (m w gum? lgfﬁﬁg 3M 1%.? i é’ﬁséwe 3kg? {3‘ saw/\$3M}, OﬁS‘ﬁib bggﬂ : 53 ‘ég i?) Me 1265;} {9 {‘30 {’53, ‘1‘?H>: nib Aﬂvwmiwg F€\$vo§m>w ‘Wk { JANE 4'9 :9 isiwcg Cé Mﬁoi CA L SQU HLS EASE‘“ ~ 5 SQUARES EA§E 5 SQUARES I tn 0 \n E ”P y I: (DU) co co v-(v mm mm E???“ Wilma? “WWW J ’gﬂqv {agrggF % wig» “j: S??? #— 5‘?¥ :9 i; CLMML 6—2 rises Y‘ﬁaav&au~} W\+M§ CHM/1% ERMA Vé‘ﬂmgﬁ nmw mum :zx <<< :3: COO wmm \$12?“ ﬁaéigw§i®\$mm 3 , D€\$ﬁgm a 34,9; grim/avg»; 41%;}; gag-Lama 9%;739 A}? ‘5 am! M ~53 angcsfug‘g \A , (\‘QL‘Z’ éﬁmmnémvmg‘: W”? ”553%: *EGHW Wig/£45” uhi‘porwf g . A ‘ a 4:9 : g 9&3}: ‘C‘? i 525) 22\$; ULS‘C +3“); étxdﬁr7§ ’ Z Q‘égﬁ'w +493 “1C9,” Tﬂng’ éwémmmi #3 5" 3% (:25 X99; gagiagmf- \g " Aggywmg MM. 032*?» \$rgm 53 {33* mmmwf‘? {zigﬁagr‘gm giggfeég ( 3 \ . ,- §;erg¢ +0 i§o inf €é a? éag " L'emj%a {a 13‘ \$2? . x a . a iE 9 Draw; +~ggsgg~45 éraévﬁ gggﬂg‘cm 53¢<>wiacg {Gehrig} aims; 7‘153 / 00%;; VQ/‘s‘g? :9? MGM/[6‘ (ragémigafig‘gymglgm/7 45\$? frwI/‘idié’é/ i V 8 ’“ “if: e § % fahf’Q/‘cS/gg,‘%’a‘€>m aims? rig-3 ! ‘ Cajmmw " af§*Mm%\$ v» “Wgwwmmwggmwkmwwmw . 3; O‘Ci {7‘01 ﬁ» w w E :> W )3 ME n ‘ g I +§>M :: :13— -; 2.1% 34% ‘iému 3 £23 {32) T“: \$31245” 39%“ 3%; 9:42? 53’ q ' f 5 1 T 3 I Agﬁuw, i Q Eocarg '5’? ¢% +3255» E Tbslrg pggr Wg§éniﬁ 1 i E E i ! a mam; wgfg‘g w ﬁwg a; aw“ ﬁg? .W/sa: iEsﬁfﬂ/z mpg 42682 24389 Efﬁgw ﬁaéﬁamﬂﬁmm 4 ,4 Y: 0575’ aim/f“ wgii \$919 {7an 6%ng qqﬁffﬁ\$§é§m%gpﬁa "ED/Dy \YW‘f'Q/ig/Qiqﬁéh: Y2: 5"??? ﬁg> Cﬂym //}>;V\ “:1 Zag? 432339 (AQEMHL aka“? ﬁg") =9 %Mm/3¢}:Z: 33; £3} éMm 2;, £53; 5333;? f @Fé 5:23;} M 3: i??? 3?)? gcgm F» 332371? E ig :w _ 5 . . s ' i ; ~ 5 SQUARES - 5 SQUARES J A 5 SQUARES Na, and) r:?~) may % % S3. E we,“ “3 % «E “E a :ﬁ ”ii: IE g»; £33» %;.¢;‘”w TEE}? » c.9267} : 159;, 43V; 1’ ”"67 % 72'6’939 Q. 2 ﬂag 5?»: 5? k g‘ 9 A?” >iu> 3W fag (I???) {ig’éa 63%: ,9 ggmg S‘AE/ﬂr” gremémé M T ., g V“: MW 1‘: ggwk'ﬂ‘ : £38515: 15” “f? 3 £2; 5:; , Mag 3) ”Wag ...
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